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Finding the Fourth Proportional to 233,115.48, 349,731.36 and 75,359.88

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Solution

The fourth proportional to 233,115.48, 349,731.36 and 75,359.88 is: 113,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,115.48 : 349,731.36 = 75,359.88 : x
  2. Step 2: Convert to fraction form
    233,115.48/349,731.36 = 75,359.88/x
  3. Step 3: Cross multiply
    233,115.48x = 349,731.36 × 75,359.88
  4. Step 4: Simplify right side
    233,115.48x = 26,355,713,321.84
  5. Step 5: Solve for x
    x = 26,355,713,321.84/233,115.48
  6. Step 6: Final answer
    x = 113,058.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.